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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 61, 2012 - Issue 11
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Original Articles

Proper exhausters and coexhausters in nonsmooth analysis

V.F. Demyanov Applied Mathematics Department, Saint Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, RussiaCorrespondence[email protected]
Pages 1347-1368 | Received 17 Feb 2012, Accepted 25 May 2012, Published online: 16 Jul 2012

Citations (11)

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Valentin V. Gorokhovik & Marina A. Trafimovich. (2016) On methods for converting exhausters of positively homogeneous functions. Optimization 65:3, pages 589-608.
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Articles from other publishers (10)

Majid E. Abbasov. (2023) Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions. Taiwanese Journal of Mathematics 27:3.
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Majid E. Abbasov. (2022) Finding the set of global minimizers of a piecewise affine function. Journal of Global Optimization 85:1, pages 1-13.
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Majid Abbasov. 2022. Stability and Control Processes. Stability and Control Processes 695 701 .
Majid E. Abbasov. (2019) Optimality conditions for an exhausterable function on an exhausterable set. Journal of Global Optimization 76:1, pages 57-67.
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M. E. Abbasov. (2019) Reduction and Minimality of Coexhausters. Vestnik St. Petersburg University, Mathematics 51:1, pages 1-8.
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Majid E. Abbasov. (2017) Comparison Between Quasidifferentials and Exhausters. Journal of Optimization Theory and Applications 175:1, pages 59-75.
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Valentin V. Gorokhovik & Marina Trafimovich. (2016) Positively Homogeneous Functions Revisited. Journal of Optimization Theory and Applications 171:2, pages 481-503.
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M. E. Abbasov. (2015) Second-Order Minimization Method for Nonsmooth Functions Allowing Convex Quadratic Approximations of the Augment. Journal of Optimization Theory and Applications 171:2, pages 666-674.
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Majid E. Abbasov. (2015) Generalized exhausters: Existence, construction, optimality conditions. Journal of Industrial & Management Optimization 11:1, pages 217-230.
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M. E. Abbasov & V. F. Demyanov. (2012) Adjoint Coexhausters in Nonsmooth Analysis and Extremality Conditions. Journal of Optimization Theory and Applications 156:3, pages 535-553.
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